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Finding the Fourth Proportional to 967.44, 1,450.60 and 309.19

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Solution

The fourth proportional to 967.44, 1,450.60 and 309.19 is: 463.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.44 : 1,450.60 = 309.19 : x
  2. Step 2: Convert to fraction form
    967.44/1,450.60 = 309.19/x
  3. Step 3: Cross multiply
    967.44x = 1,450.60 × 309.19
  4. Step 4: Simplify right side
    967.44x = 448,511.01
  5. Step 5: Solve for x
    x = 448,511.01/967.44
  6. Step 6: Final answer
    x = 463.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.